1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Acceleration problem

  1. Oct 9, 2006 #1
    A particle moves with acceleration a(t) = cos(t)+3

    Intital velocity v(0)= 5
    initial position s(0) =3

    a) fin velocity of particle at time t

    v(t) = sin(t)+3t+C
    plugging 0 for t I get C = 5

    s(t) = -cos(t) + 3/2t^2 + 5t + C
    plugging 0 for s I get C = 3

    answer: v(t) = sin(t)+3t+5

    b) What is the total distance traveled from t = pi to t = 2pi

    integral pi to 2pi = v(t) = sin(t)+3t+5
    = s(2pi)-s(pi)

  2. jcsd
  3. Oct 9, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    I think the "C" in the x(t) is 4 and not 3.

    [itex]\cos 0=1 [/itex]

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Acceleration problem